A tank is filled to 4/5th of its capacity. If twelve litres of water is drawn out, the tank now contains 1/5th of its total capacity. What is the capacity of the tank?40 litres25 litres20 litres15 litres
Question
A tank is filled to 4/5th of its capacity. If twelve litres of water is drawn out, the tank now contains 1/5th of its total capacity. What is the capacity of the tank?40 litres25 litres20 litres15 litres
Solution
To solve this problem, we need to understand that the difference between 4/5th and 1/5th of the tank's capacity is equal to the 12 litres of water that was drawn out.
Step 1: Understand the problem The tank was originally 4/5 full. After drawing out some water, it is now 1/5 full. The amount of water drawn out is therefore 4/5 - 1/5 = 3/5 of the tank's capacity.
Step 2: Set up the equation We know that 3/5 of the tank's capacity is equal to 12 litres. We can set up the following equation to find the total capacity (C) of the tank: 3/5 * C = 12 litres
Step 3: Solve the equation To solve for C, we can multiply both sides of the equation by 5/3: C = 12 litres * 5/3 = 20 litres
So, the capacity of the tank is 20 litres.
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